Ask question

Ask question

All categories

2 years ago

11

An aerial camera is suspended from a blimp and positioned at D. The camera needs to cover 125 meters of ground distance. If the

camera hangs 10 meters below the blimp and the blimp attachment is 20 meters in length, at what altitude from D to B should the camera be flown?
A blimp over triangle EDF with height of 10 meters and FE equals 20 meters and triangle ADC with height BD and AC equals 125 meters. Triangles share point D.

A. 31.25 m
B. 62.5 m
C. 150 m
D. 250 m

2 answers:

joja [24]2 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

Given information: In ΔEDF, FE=20 m and height = 10 m. In ΔADC, AC=125 m.

From the given information, we conclude that AC║EF.

In ΔEDF and ΔADC,

$\angle E=\angle A$ (Alternate interior angles)

$\angle EDF=\angle ADC$ (Vertically opposite angle)

By AA rule of similarity,

$\triangle EDF\sim \triangle ADC$

The corresponding sides of two similar triangles are similar. So in ΔEDF and ΔADC,

$\frac{base}{height}=\frac{FE}{h}=\frac{AC}{DB}$

$\frac{20}{10}=\frac{125}{DB}$

$2=\frac{125}{DB}$

On cross multiplication, we get

$2DB=125$

Divide both sides by 2.

$\frac{2DB}{2}=\frac{125}{2}$

$DB=62.5$

Therefore the correct option is B.

mina [271]2 years ago

3 0

Answer:

B. 62.5 m

Step-by-step explanation:

∠EDF and ∠ADC are vertical angles, and therefore equal.

EF and AC are parallel, so ∠DEF and ∠DAC are alternate interior angles, as well as ∠DFE and ∠DCA. Therefore, each pair is equal.

From this, we can say ΔDEF and ΔDAC are similar triangles. So we can write a proportion:

10 / 20 = DB / 125

DB = 62.5

You might be interested in

A football filters that is 60 m wide and 110 m long is being paved over to make a parking lot. The builder ordered 660,000,000 c

ad-work [718]

The answer is 10 cm

Imagine cement cover as a rectangle which volume is 660,000,000 cm3. So this rectangle has width (w = 60m), length (l = 110m), and height (h = ?). The height of the rectangle is actually a thickness of the cement layer. So, we will use the formula for the volume (V) of the rectangle to calculate the thickness:
V = w · l · h

It is given:
V = 660,000,000 cm³
w = 60 m = 60 · 100 cm = 6,000 cm
l = 110 m = 110 · 100 cm = 11,000 cm
h = ?

Using the formula: V = w · l · h
660,000,000 = 6,000 · 11,000 · h
660,000,000 = 66,000,000 · h
⇒ h = 660,000,000 ÷ 66,000,000 = 10 cm

4 0

2 years ago

Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide

MrRa [10]

Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

Make the conversion from inches to feet. Since $1\ ft=12\ in$ ,you get:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

So in this case you can identify that:

$r=\frac{1}{6}\\\\h=L$

Then, substituting them into the formula and simplifying you get:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

$\frac{1}{36}\pi L$

4 0

2 years ago

Read 2 more answers

Owen paid $9.20 for 6 pencils and a pen. A pen cost twice as much as a pencil. (a) How much did a pencil cost? (b) How much did

Len [333]

6x+1y=9.20 (x=pencils since he bought 6 pencils, y=pen since he bought one pen)
2x=y (the cost of two pencils equals to one pen since a pen costs twice as much)

now you just solve with substitution

6x+1(2x)=9.20
6x+2x=9.20
8x=9.20
x=1.15 (now you know that one pencil costs 1.15 dollars, now substitute that into the other equation)

2(1.15)=y
2.30=y (now you know then pen costs 2.30 dollars)

so your answer is
a) $1.15
b) $2.30

8 0

2 years ago

A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of fo

hoa [83]

Answer:

15 lbs total

1 canister - 3 lbs

lion has already consumed 9 pounds, "3 x 3 canisters of food"

15 - 9 = 6

6/3 = 2

the person needs to feed the lion 2 more canister

ANSWER IS 2

Step-by-step explanation:

6 0

1 year ago

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Levart [38]

Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

$2y_{m}=y_{1}+y_{2}$

$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

$x_{2}=(2*2)-1$

$x_{2}=3$

Calculating $y_{2}$ :

$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

$x_{2}=19$

$y_{2}=(2*6)-19$

$y_{2}$ = -7

$(x_{2},y_{2})=(19,-7)$

8 0

2 years ago

Read 2 more answers